409749 has 8 divisors (see below), whose sum is σ = 554112. Its totient is φ = 269280.

The previous prime is 409733. The next prime is 409753. The reversal of 409749 is 947904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409749 - 2⁴ = 409733 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (69264).

2⁴⁰⁹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

409749 is a deficient number, since it is larger than the sum of its proper divisors (144363).

409749 is a wasteful number, since it uses less digits than its factorization.

409749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 409749 is about 640.1163956657. The cubic root of 409749 is about 74.2744254119.

The spelling of 409749 in words is "four hundred nine thousand, seven hundred forty-nine".